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Answer:

Yes.


Dice Game

Here are the rules for a dice game:

  1. The game consists of several "rounds."
  2. In each round, the computer plays first by throwing two six-sided dice and adding the spots.
  3. The player must now try to beat that sum.
  4. The player may choose to throw two six-sided dice or one 11-sided die (with sides numbered 2-12).
  5. If the player's throw beats the computer, then the player wins the round. Otherwise the computer wins the round.
  6. The game continues until either the player or the computer has won ten rounds.

The player can chose to throw two dice, which randomly select a number 2 through 12, or to throw the 11-sided die, which also randomly selects a number 2 through 12. But the distribution of numbers is different for each choice.

Here are the first four rounds of a game:

The Computer tosses: 10
Toss 1 eleven-sided die, or 2 six-sided dice (enter 1 or 2)? 1
You throw 1 die and get: 7
You loose the round!
Score: computer 1, you 0

The Computer tosses: 4
Toss 1 eleven-sided die, or 2 six-sided dice (enter 1 or 2)? 2
You throw 2 dice and get: 9
You win the round!
Score: computer 1, you 1

The Computer tosses: 10
Toss 1 eleven-sided die, or 2 six-sided dice (enter 1 or 2)? 1
You throw 1 die and get: 3
You loose the round!
Score: computer 2, you 1

The Computer tosses: 5
Toss 1 eleven-sided die, or 2 six-sided dice (enter 1 or 2)? 2
You throw 2 dice and get: 5
You loose the round!
Score: computer 3, you 1

Eleven-sided dice are hard to find in the real world. If you want to play this game with physical dice use a twelve-sided or sixteen-sided die (which do exist, ask any Dungeon Master) and discard rolls other than 2 through 12.


QUESTION 17:

What advantage does the computer have in this game?

What advantage does the player have in this game?